What is the value of sin((7pi)/(12))-cos(pi/(12)) ?

The value of sin((7pi)/(12))-cos(pi/(12)) is 0

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sin((7pi)/(12))-cos(pi/(12))

sin (\frac{7 π}{12}) - cos (\frac{π}{12})

0

Solution steps

sin (\frac{7 π}{12}) - cos (\frac{π}{12})

Rewrite using trig identities:

sin (\frac{7 π}{12}) = \frac{2 ( 3 + 1 )}{4}

Rewrite using trig identities:

cos (\frac{π}{12}) = \frac{6 + 2}{4}

= \frac{2 ( 3 + 1 )}{4} - \frac{6 + 2}{4}

Simplify

\frac{2 ( 3 + 1 )}{4} - \frac{6 + 2}{4} : 0

= 0

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What is the value of sin((7pi)/(12))-cos(pi/(12)) ?
The value of sin((7pi)/(12))-cos(pi/(12)) is 0